On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915908736253952 |
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| author | Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta |
| author_facet | Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta |
| contents | We study a finite analogue of Dobiński's formula, which is related to the Napier constant $e$, and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we extend the results of Kaneko--Matsusaka--Seki on finite analogues of Euler's constant, and compare them with the Wilson-type analogue $γ_\mathcal{A}^\mathrm{W}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01578 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials Matsusaka, Toshiki Miyazaki, Taichi Yara, Shunta Number Theory We study a finite analogue of Dobiński's formula, which is related to the Napier constant $e$, and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we extend the results of Kaneko--Matsusaka--Seki on finite analogues of Euler's constant, and compare them with the Wilson-type analogue $γ_\mathcal{A}^\mathrm{W}$. |
| title | On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials |
| topic | Number Theory |
| url | https://arxiv.org/abs/2604.01578 |